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Finding the Fourth Proportional to 595.72, 891.48 and 364.54

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Solution

The fourth proportional to 595.72, 891.48 and 364.54 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.72 : 891.48 = 364.54 : x
  2. Step 2: Convert to fraction form
    595.72/891.48 = 364.54/x
  3. Step 3: Cross multiply
    595.72x = 891.48 × 364.54
  4. Step 4: Simplify right side
    595.72x = 324,980.12
  5. Step 5: Solve for x
    x = 324,980.12/595.72
  6. Step 6: Final answer
    x = 545.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.